Unit: Real Numbers Chapter: Finding a Rational between two numbers Reference: – Understanding Rational Numbers, Density Property of Rational Numbers, Methods to Find a Rational Number Between Two Given Numbers, Comparing and Ordering Rational Numbers, Application of Rational Numbers in Real-World Scenarios, Infinite Nature of Rational Numbers Between Two Given Numbers, Converting Between Different Forms […]
Unit: Real Numbers Chapter: Introduction to Real Numbers Reference: – Understanding the Real Number System, Rational and Irrational Numbers, Properties of Real Numbers, Comparing and Ordering Real Numbers, Operations on Real Numbers, The Density Property of Real Numbers, Sets and Intervals in Real Numbers After studying this chapter, you should be able to understand: Understanding […]
Unit: Circles Chapter: Constructing Circumscribed and Inscribed Triangles Reference: – Definition of Arc Length, Definition of a Sector, Formula for Sector Area, Relation Between Arc Length and Sector Area, Central Angle in Radians, Full Circle and Proportionality, Relationship Between Arc Length Radius and Central Angle, Applications of Arc Length and Sector Area After studying this […]
Unit: Constructions Chapter: Constructing Inscribed Polygons Reference: – Angle at the Centre Theorem, Inscribed Angle Theorem, Angle Between a Tangent and a Chord, Theorem of Tangents from an External Point, Cyclic Quadrilateral Theorem, Power of a Point Theorem, Chord-Chord Intersection Theorem, Secant-Secant Theorem, Secant-Tangent Theorem, Arc Length and Sector Area Theorem After studying this chapter, […]
Unit: Construction Chapter: Constructing Tangents to Circles Reference: – Definition of Tangent to a Circle, Point of Tangency, Constructing a Tangent from an External Point, Constructing Two Tangents from an External Point, Constructing a Tangent at a Given Point on the Circle, Tangent Properties in Right Triangles, Using Compass and Straightedge for Tangent Construction, Tangent […]
Unit: Construction Chapter: Constructing Lines, Segments, and Angles Reference: – Basic Geometric Construction, Constructing a Line Segment, Copying a Line Segment, Bisecting a Line Segment, Constructing a Perpendicular Line, Constructing a Parallel Line, Constructing an Angle, Copying an Angle, Bisecting an Angle Constructing Special Angles After studying this chapter, you should be able to understand: […]
Unit: Construction Chapter: Constructing Transformations Reference: – Introduction to Geometric Transformations, Tools for Geometric Constructions, Constructing Translations, Constructing Reflections, Constructing Rotations & Dilations, Composition of Transformations, Symmetry in Transformations, Congruence and Similarity through Transformations, Real-World Applications of Transformations After studying this chapter, you should be able to understand: Introduction to Geometric Transformations Constructing Translations, Constructing […]
Unit: Lines and Angles Chapter: Introduction to Lines and Angles Reference: – Definition of Lines and Angles, Types of Lines, Types of Angles, Angle Relationships, Linear Pair of Angles, Intersecting Lines and Angles, Parallel Lines and Angles, Angle Sum Property of a Triangle, Real-Life Applications of Lines and Angles, Basic Theorems Related to Lines and […]
Unit: Three-Dimensional Solids Chapter: Surface Area, Volume of Solids – Sphere Reference: – Definition of a Sphere, Properties of a Sphere, Radius and Diameter of a Sphere, Surface Area of a Sphere, Volume of a Sphere, Hemispheres, Great Circles and Small Circles, Relationship Between Sphere and Other Solids, Applications of Spherical Geometry After studying this […]
Unit: Three-Dimensional Solids Chapter: Surface Area, Volume of Solids – Cone Reference: – Definition & Elements of a Cone, Comparison with Other Solids, Surface Area of a Cone, Volume of a Cone, Relationship Between Cone and Cylinder, Cross-Sections of a Cone, Scaling and Proportionality in Cones, Real-World Applications of Cones After studying this chapter, you […]